Finding the Third Proportional to 269,511,846.75 and 402,471,514.13
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Solution
The third proportional to 269,511,846.75 and 402,471,514.13 is: 601,024,858.96
Step by Step Solution
- Step 1: Write the proportion equation
269,511,846.75 : 402,471,514.13 = 402,471,514.13 : x - Step 2: Convert to fraction form
269,511,846.75/402,471,514.13 = 402,471,514.13/x - Step 3: Cross multiply
269,511,846.75x = 402,471,514.13 × 402,471,514.13 - Step 4: Simplify right side
269,511,846.75x = 161,983,319,682,070,080 - Step 5: Solve for x
x = 161,983,319,682,070,080/269,511,846.75 - Step 6: Final answer
x = 601,024,858.96
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Why These Related Problems?
These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.